Question

Write an equation that model the line shown on the graph in point slope form (2,1) and (-3,-1)

Answer 1

`y - 1 = (2)/(5)(x-2)`

To find equation:

Find the slope using:

`\sf slope = (y_2-y_1)/(x_2-x_1)` where (x1, y1) and (x2, y2) are points

`\sf slope \ (m) = (-1-1)/(-3-2) = (2)/(5)`

Now find equation using:

`y-y_1= m(x-x_1)`

`y - 1 = (2)/(5)(x-2)` = point slope form

`y =(2)/(5)x + (1)/(5)` = slope intercept form, much simplified